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Math Expert V
Joined: 02 Sep 2009
Posts: 65829
If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

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Difficulty:   5% (low)

Question Stats: 99% (00:58) correct 1% (02:14) wrong based on 71 sessions

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If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

Source: Nova GMAT
Difficulty Level: 500

_________________

Originally posted by Bunuel on 01 Jun 2017, 11:15.
Last edited by SajjadAhmad on 08 Jul 2019, 00:09, edited 1 time in total.
GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

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Top Contributor
Bunuel wrote:
If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

$$\frac{7x^2 + 28x + 28}{(x + 2)^2} = \frac{7(x^2 + 4x + 4)}{(x + 2)^2}$$

$$= \frac{7(x + 2)^2}{(x + 2)^2}$$

$$= 7$$

_________________
If you enjoy my solutions, you'll love my GMAT prep course. Originally posted by BrentGMATPrepNow on 01 Jun 2017, 11:45.
Last edited by BrentGMATPrepNow on 01 Jun 2020, 08:33, edited 1 time in total.
RSM Erasmus Moderator V
Joined: 26 Mar 2013
Posts: 2493
Concentration: Operations, Strategy
Schools: Erasmus
Re: If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

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Bunuel wrote:
If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

$$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$$$\frac{7(x^2 + 4x + 4)}{(x^2 + 4x + 4)} =$$7

GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
Re: If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =  [#permalink]

### Show Tags

Top Contributor
Bunuel wrote:
If x ≠ –2, then $$\frac{7x^2 + 28x + 28}{(x + 2)^2} =$$

(A) 7
(B) 8
(C) 9
(D) 10
(E) 11

Another approach:

Plug in a nice value for x and evaluate the expression.
A super nice x-value is x = 0

We get: $$\frac{7(0^2) + 28(0) + 28}{(0 + 2)^2} = \frac{28}{2^2}$$

$$= \frac{28}{4}$$

$$= 7$$

still A _________________
If you enjoy my solutions, you'll love my GMAT prep course.  Re: If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =   [#permalink] 01 Jun 2017, 12:03

# If x ≠ –2, then (7x^2 + 28x + 28)/(x + 2)^2 =   